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Finding the Third Proportional to 9,974,286 and 21,539,988

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Solution

The third proportional to 9,974,286 and 21,539,988 is: 46,516,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,286 : 21,539,988 = 21,539,988 : x
  2. Step 2: Convert to fraction form
    9,974,286/21,539,988 = 21,539,988/x
  3. Step 3: Cross multiply
    9,974,286x = 21,539,988 × 21,539,988
  4. Step 4: Simplify right side
    9,974,286x = 463,971,083,040,144
  5. Step 5: Solve for x
    x = 463,971,083,040,144/9,974,286
  6. Step 6: Final answer
    x = 46,516,721.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.